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Simplifying 5(x + -2) = -2x + 46 Reorder the terms: 5(-2 + x) = -2x + 46 (-2 * 5 + x * 5) = -2x + 46 (-10 + 5x) = -2x + 46 Reorder the terms: -10 + 5x = 46 + -2x Solving -10 + 5x = 46 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 5x + 2x = 46 + -2x + 2x Combine like terms: 5x + 2x = 7x -10 + 7x = 46 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 7x = 46 + 0 -10 + 7x = 46 Add '10' to each side of the equation. -10 + 10 + 7x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 46 + 10 7x = 46 + 10 Combine like terms: 46 + 10 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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